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2255984 = 241941181
BaseRepresentation
bin1000100110110001110000
311020121121222
420212301300
51034142414
6120204212
725114133
oct10466160
94217558
102255984
111300a55
12909668
1360cb03
1442a21a
152e868e
hex226c70

2255984 has 40 divisors (see below), whose sum is σ = 4739280. Its totient is φ = 1036800.

The previous prime is 2255971. The next prime is 2255987. The reversal of 2255984 is 4895522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12374 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

22255984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369640).

2255984 is an abundant number, since it is smaller than the sum of its proper divisors (2483296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2255984 is a wasteful number, since it uses less digits than its factorization.

2255984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 2255984 is about 1501.9933421956. The cubic root of 2255984 is about 131.1531336672.

The spelling of 2255984 in words is "two million, two hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 181 304 328 362 656 724 779 1448 1558 2896 3116 3439 6232 6878 7421 12464 13756 14842 27512 29684 55024 59368 118736 140999 281998 563996 1127992 2255984